Checking listing possible outcomes | Maths | Quizalize & Oak National Academy

Starter quiz

In probability, what is a 'trial'?
- a representation used to model probability questions
- a set of all possible outcomes
- a single predefined test ✓
- a way to list outcomes systematically
A ______ is all the possible outcomes of a trial.
- event
- experiment
- likelihood
- sample space ✓
Which of these numbers is not on a standard six-sided dice?
- 3
- 4
- 5
- 6
- 7 ✓
Match each trial with its sample space.
- ξ = {win, lose}
  
  ⇔
  
  A spinner containing "win" and "lose" is spun. ✓
- ξ = {1, 2, 3, 4, 5, 6}
  
  ⇔
  
  A regular six-sided dice is rolled. ✓
- ξ = {heads, tails}
  
  ⇔
  
  A coin is flipped once. ✓
- ξ = {A, E, I, O, U}
  
  ⇔
  
  A bag contains tiles each of which is a vowel. A tile is picked. ✓
$Complete the following sample space for the outcomes of the spinner. ξ = {A, I, L, T, <span class="blank">______</span> }.$

Complete the following sample space for the outcomes of the spinner. ξ = {A, I, L, T, ______ }.
- 'R' ✓
How many possible outcomes are there on this spinner?
- '3' ✓

Exit quiz

When listing outcomes ______, they are listed in such a way as to ensure all outcomes are recorded.
- haphazardly
- randomly
- systematically ✓
A coin is flipped twice. Complete the sample space ξ = {HH, HT, TH, ______}
- 'TT' ✓
A coin is flipped three times. Which outcome is missing from the following sample space? ξ = {HHH, HHT, HTH, HTT, THH, THT, ______, TTT}
- 'TTH' ✓
A counter is taken from the bag. Its letter is noted and then it is placed back into the bag. A counter is taken from the bag again. Which is a correct sample space for this trial?
- ξ = {AA, AB, BA, BB, BC, CA, CB, CC}
- ξ = {AA, AB, AC, BA, BB, BC, BB, CA, CB, CC}
- ξ = {AA, AB, AC, BA, BB, BC, CA, CB, CC} ✓
In a rugby match, a team can either win (W), lose (L) or draw (D). A team plays two matches. Which outcome is missing from the following sample space? ξ = {WW, WL, WD, LW, LL, DW, DL, DD}
- 'LD' ✓
There are two trials. In Trial 1, a spinner with {A, B, C} is spun twice. In Trial 2, a spinner with {A, B} is spun three times. Which statement is true?
- The total number of possible outcomes in Trial 1 is greater than in Trial 2. ✓
- The total number of possible outcomes in Trial 1 is less than in Trial 2.
- The total number of possible outcomes in Trial 1 is the same are in Trial 2.

Worksheet

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Presentation

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Lesson Details

Key learning points

The possible outcomes for one event can be stated.
The possible outcomes for two events can be stated.
The possible outcomes for three events can be stated.

Common misconception

Pupils may list the possible outcomes in an unsystematic way, potentially causing them to miss or repeat outcomes.

Demonstrate how our system of counting is a systematic method for listing numbers and compare it to some of the listing strategies used in the lesson.

Keywords

Trial - A trial is a single predefined test.
Outcome - An outcome is a result of a trial.
Systematic - When listing outcomes systematically, they are listed in such a way as to ensure all outcomes are recorded.